Generation Of The Trigonometric Cubic B-spline Collocation Solutions for the Kuramoto-Sivashinsky(KS) Equation
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Thessaloniki, Yunanistan, 25 - 30 Eylül 2017, cilt.1978, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1978
- Doi Numarası: 10.1063/1.5044169
- Basıldığı Şehir: Thessaloniki
- Basıldığı Ülke: Yunanistan
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
A recent type of B-spline functions, namely trigonometric cubic B-splines, are adapted to the collocation method for the numerical solutions of the Kuramoto-Sivashinsky(KS) equation. Altough Trigonometric Cubic B-spline(TCB) function is continuous derivatives up to order 2, KS equation is splitted into a coupled system of equation including the first and second order derivatives to be able to the TCB collocation method. Crank-Nicolson method is applied for the time integration of the space discretized system resulted by TCB-spline approach. Some initial boundary value problems are solved to show the validity of the proposed method.